Vectors

Vectors are lists of numbers symbolically represented with an arrow $\vec{v}$.

They can be represented as rows and columns. (Therefore related to Matrices)

Vectors with equal amount of elements can be summed.

Any vector can be multiplied or divided by a constant.

There are multiple ways to multiply vectors. This can be done by performing on of the following:

• Cross Products
• Dot Products

Vectors can also be operated on in systems of equations.

Vectors can also be represented by linear functions:

$span\{\vec{v}\} = \{k\vec{v}, k \in R\} \equiv f(x) = ax + b$

$\vec{v} \equiv f(x) = ax + b, x \in \{0, |\vec{v}|\}$